Roboguru

Perhatikan segitiga berikut, kemudian tentukan nilai dan !

Perhatikan segitiga berikut, kemudian tentukan nilai begin mathsize 14px style sin space straight alpha comma space cos space straight alpha comma space tan space straight alpha comma space sec space straight alpha comma space cosec space straight alpha end style dan begin mathsize 14px style cotan space straight alpha end style

  

Jawaban:

kita cari sisi depan sudut terlebih dahulu menggunakan teorema Pythagoras

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sisi space tegak end cell equals cell square root of 20 squared minus 12 squared end root end cell row blank equals cell square root of 400 minus 144 end root end cell row blank equals cell square root of 256 end cell row blank equals 16 end table end style 

Sekarang kita cari  begin mathsize 14px style sin space straight alpha comma space cos space straight alpha comma space tan space straight alpha comma space sec space straight alpha comma space cosec space straight alpha end style dan begin mathsize 14px style cotan space straight alpha end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight alpha end cell equals cell fraction numerator sisi space depan space sudut over denominator sisi space miring end fraction equals 16 over 20 equals 4 over 5 end cell row cell cos space straight alpha end cell equals cell fraction numerator sisi space samping space sudut over denominator sisi space miring end fraction equals 12 over 20 equals 3 over 5 end cell row cell tan space straight alpha end cell equals cell fraction numerator sisi space depan space sudut over denominator sisi space samping space sudut end fraction equals 16 over 12 equals 4 over 3 end cell row cell sec space straight alpha end cell equals cell fraction numerator 1 over denominator cos space straight alpha end fraction equals 5 over 3 end cell row cell cosec space straight alpha end cell equals cell fraction numerator 1 over denominator sin space straight alpha end fraction equals 5 over 4 end cell row cell cotan space straight alpha end cell equals cell fraction numerator 1 over denominator tan space straight alpha end fraction equals 3 over 4 end cell end table end style 

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